{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Exercícios\n",
    "\n",
    "1 - Aplique os algoritmos K-means [1] e AgglomerativeClustering [2], experimentando as medidas de distância disponíveis. Compare os resultados, utilizando métricas de avaliação de clusteres (completeness e homogeneity, por exemplo) [3].\n",
    "\n",
    "* [1] http://scikit-learn.org/stable/modules/clustering.html#k-means\n",
    "\n",
    "* [2] http://scikit-learn.org/0.17/modules/clustering.html#hierarchical-clustering\n",
    "\n",
    "* [3] http://scikit-learn.org/stable/modules/clustering.html#clustering-evaluation\n",
    "\n",
    "2 - Aplique o Método da Silhueta (Utilize silhouette_score [4] e/ou silhouette_samples [5]) em relação aos resultados do algoritmo K-means. Observe o resultado da avaliação (entenda as saídas dos métodos, conforme referências abaixo) e identifique a qualidade da sua clusterização. \n",
    "\n",
    "* [4] http://scikit-learn.org/0.17/modules/generated/sklearn.metrics.silhouette_score.html#sklearn.metrics.silhouette_score\n",
    "\n",
    "* [5] http://scikit-learn.org/0.17/modules/generated/sklearn.metrics.silhouette_samples.html#sklearn.metrics.silhouette_samples\n",
    "\n",
    "3 - Qual o valor de K (número de clusteres) você escolheu para a questão anterior? Desenvolva o Método do Cotovelo (não utilizar lib!) e descubra o K mais adequado. Após descobrir, aplique novamente o K-means com o K adequado. \n",
    "\n",
    "* Ajuda: atributos do [k-means](http://scikit-learn.org/0.17/modules/generated/sklearn.cluster.KMeans.html#sklearn.cluster.KMeans)\n",
    "\n",
    "4 - Após a questão 3, você aplicou o algoritmo com K apropriado. Refaça a questão 2 de acordo com os resultados de clusters obtidos com a questão anterior e verifique se o resultado melhorou.\n",
    "\n",
    "\n",
    "\n",
    "\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "from sklearn.datasets import load_iris\n",
    "from sklearn.model_selection import train_test_split\n",
    "from sklearn import decomposition\n",
    "from sklearn import metrics\n",
    "from mpl_toolkits.mplot3d import Axes3D\n",
    "from sklearn.cluster import KMeans\n",
    "\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "import pandas as pd\n",
    "\n",
    "dataset = load_iris()\n",
    "X = dataset.data\n",
    "y = dataset.target\n",
    "\n",
    "def PlotOriginal(reduced_data_df, y):\n",
    "    fig, ax = plt.subplots()\n",
    "    ax.scatter(reduced_data_df[0], reduced_data_df[1], c=y)\n",
    "    plt.show()\n",
    "    return\n",
    "\n",
    "def PlotClusters(reduced_data_df, clustering):\n",
    "    fig, ax = plt.subplots()\n",
    "    ax.scatter(reduced_data_df[0], reduced_data_df[1], c=clustering)\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
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H7rrANQShp1WdIHpr++taXRDxVSdHOYjFDqAvsElKuUWGqypPB0bEoN8azabMjBILxEPY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\nTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10af4c5f8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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oetpxnHfzWThcdhwuO65EJ84EJw+OuwtXgpMNSzbFPE9Kyf6dVgbH0tkrubn3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\nTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x118b657b8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#KMeans\n",
    "kmeans = KMeans(n_clusters=3, random_state=0).fit(X)\n",
    "predictions = kmeans.predict(X)\n",
    "\n",
    "reduced_data = decomposition.PCA(n_components=2).fit_transform(X)\n",
    "\n",
    "reduced_data_df = pd.DataFrame(reduced_data)\n",
    "reduced_data_df[2] = predictions\n",
    "\n",
    "# k-means clusters\n",
    "PlotClusters(reduced_data_df, reduced_data_df[2])\n",
    "\n",
    "# Original\n",
    "PlotOriginal(reduced_data_df, y)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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TewuKfXdQvlQAQoheQohDQoijQoiX/bzeRQiRKITYlf41Pj/uW5SSbXbmH9xPisN3Ewm3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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x114f7eeb8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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oetpxnHfzWThcdhwuO65EJ84EJw+OuwtXgpMNSzbFPE9Kyf6dVgbH0tkrubn3\nvZztHsmoljfy3VvTS6SGqKh7LNq5g5Hjv+SEt17j3M8/ZsbG6Dfjz5cvjWrjCGDXdF44awg39ooU\nEXToerGft8Mbv3Rt1JgzjmlDwmG1BXatuEE+TLTmzyFkOAvp/xEZXBTz3vLAzWBmFaR3+gC/JePg\nG1/sNYXQsHpNFfyc8E9Iut2qEcBh/Zt0MyLh8mKvUe1x9scKbxVBhsB+XPT2CkKtARyBa5+9jCHX\nDGThD4txJTo5+fzeJKdZlZVN2jZi/64DUedIU5LaoB6rfl/Lv89+koDXWkTO2rqXN+/6iLxsDyPv\nO79Kn0NRvSla+ZuT5efW77/j6QGDGHqY/EMgHF0cBuC06dR3Rzd06dKwEYkOB54iDeDdNjsjO0f2\nq3558D/47u/VjFu5HCkh2+yBiwWIiMFegL2HVfBVBCklMu9/4P3AKsTCtJq3pH2IsDWzjjG2grGZ\n6DddH9L7GdiPQ+Y+CaHFVq1A4mhE4vVR9xNCIBKvRCaMBpkLIjmmTTUJkXCJtRBu7udQ5bPbcmxa\ndEOfiqJm/9aqgGZtG9OsbeOIbft3ZWMEo6fhzgQn5944CFeCk7EPfl44+B8k4A3w+VMTGH7nOUr+\nQVHIM3NnR1X++g2Dp+b8wnntOhQmFQxt35HFu3biK1olLKFbo8jPKIAmBO+eez6XTRyHYUpMaWJK\nuKjTcZxZpPevJgTnte9YqDckwycj915g9eLFB7hAOBD1Hov9EIGfwPsRlhZQwec+7EdmX4/InHLw\nIBB67G6JZh5y/6hDrSBlNuS/hQxvR9R7KuYthdCtPgG1AKHVg/qTkJ4PCrqqZSASr0A4+1fqfZUD\nKCXhcJg7Tn2I3Zuyovadd+NZXP2MVQW8YemWmOebpiR71wEatKi+De8VlY83FGLSmlUs27Ob5Xt2\nxzwm2+8jPxgk2WmFBs7v0IlvVq9i6Z5deEMh7JqGrmm8MGhIsb18OzdoyPyrb2Dmpo0c8Pvo06w5\nrY6iJQQg9CaQ+SPSN9GSVbB1QCRcYOXQx0B6Pyamcmd4K9LYgLC1Br211eAlqt+vE7QUMLYX2e4H\n3yRk0l0IvQa0giwnQktFJN8ByXdU2T1rnQNYNmcV79z7MZuWbyWzeQajH/knp13Ut8Kuv+inZWTv\nPkDYiJwBONx2GrSsD8Dsr3+LaABflNQGVa/Toqg+7M7PZ9iXn5AbCOIzQhSXNOzUdRLsh8XldZ2P\nzx/OrE210YMnAAAgAElEQVQbmbVpIxkJCQzvdBzNUo78eXLabAw+LDuopAgtGZE4umQHm7nFXEQv\nLOYSQkMm3VmgGmpiTQVcYGuJVfEbQxJCOCG8EeqAA4gHtcoBLP91FfcPfqKweGvLqu08f+VreHI8\nnH3NwAq5x871u2Pq+gd9ITav2MoD5zzN8l9Xx6whcCY4Of/WIThcldygQ1GteWLOTPZ6vYWtG2NF\nRNw2G1ef0DOiYAtA1zQGtG7DgNZtqsDSUuA8C4y1RMs+a2DrAIAM/lGQ6w6Fuj4A9f4H3netCtgo\nUbgA6JVfEVtXqVVZQO/e/2lU5W7AG+C9f392xDfykrB+ySbuGfAIb941lqA/ujrYlejE5rCxfO6a\nmIN/QoqbEfcO5fLH/8m6vzay+o+1UbMIRd3g540bCgf/ojh1nQSbnSu79eBfJ1bczLUyMf0/gmcM\nkYO/AFyQ8nhhBo/MeRCr0Ong514CAch/EZF4rfW2H4ELXIMQhwm7KSqWWjUD2Lhsa8zt3lwfnhxv\nYQZPadn29w5u7/cg/vzYcrK6TSclI5ncfXkxj3ElOrl1zDW07NSM0a1vIf+Ax0qocNj5z+e3031g\nlxhXVdRWihNZ04Xgl8uvIdXtjsrLr66Yxi44cHOMPRLS3kFzWqmp0syHcKy/TwnB+QjbsZD2gVVo\nZqwG4QL3CETyXZVqf12nVs0AGhbE4Itid9pISC5aOBKbsBFm16Y9eHIPLVR98ew3BIvRBEpMSWDA\npf0Y88cz1KufjKZH/0o1TcPutPF/Ax8ja9s+fPl+fHl+cvfl8dCw59i7Y3+JbFPUDoZ16BQ1wNs1\njUFt2tIgKalUg39V15VIGUaGliFDK6175z1X/MH+nw59LxwUO9yI5IJDuqPV/xbRcCWiwWK0lPsj\n8v8VFU+tcgCXP/pPnAmR00hngpPhd56Lbjv6H9W0sTMZ3vBqrul8Jxc1vIZnLnuFgC/A3wvWx2z9\nmFgvgWemP8A9799MWoN6nHXlGdgd0ZMqoQuC/lDMht1m2GTGJ7NL8ZSKms7/ndSPTvUzSbDbcek2\nEu12Wqam8fjpA0p8jfnbtjLk0w9p8+r/OOGtMYz547cI4bjKQAZ+Q+45Cbl/NHL/KGRWfzBWFX9C\neGPht0I4wP0Pooud3FCkgEsI1S+jqqhVIaCTh/Xm1teu5r37PiVvfz4Ol4Phd53LJQ9ceNRzF05f\nwqu3vBuRuz9n/HyklLTo1IxNK7cizcg/sKA/RMNWh+KTbbq24ob/Xc4bd4zFVuAIdF3jiSn/5u8F\n6wmHoh1AKBAqcdMZRe0g0eFg/MWjWLhzO3/v28cxqWn0adYcrYSD3tLdu7hq0oRDhWOBAG8s/IMD\nfj8PnHp6pdgsw1nIAzcU1AUc3OgFjlDP4jwl4keR/DAyvM+SYRYOa4HXfS4i8YpKsVlxdGqVAwA4\n6/LTGTS6P948H65EJ3oJp9OfPz0hqnAr6A/x64TfeXraA8z/bmHE/oMN3dOKpHSec/0gTrv4JBbP\nXIEr0Um304/D7rDjTnTGfKtxJ7k4YcDxZXhSRU1GCEGvJs3o1aRZqc999Y/fCBQpBvMZBp8uW8rt\nfU4myVHxYRPp+9ZqnhKFHStzp+jLjQOc50RsEVoCIv1dqyI4vA1sx1aq1LHi6NSqENBBhBAkpiSU\nePAH2L05urALQLfrpGbW44nJ99O8QxM0TeBMcHL2tQO5+/2bYsZgk9OS6HfBifQ6q1thxe8xx7fk\nlAv74Eo8NAV2Jjhp26M1vQYX1xVJoYhmzb69MVNHbZrGzry8yrmpuY9otUqw8vdjyUMHYe/pmL4p\nUXuErTnC2VcN/tWAWjcDKCudT+lI1tZ9MWL9gkbHNKBFh6a8v/Jlgv4gNoeNxT8v58Ye/8eWldtJ\nTk/iorvP4+J7zkM7Qhu9/xt7M7MGd2PKOz9hBA0GXnYag686/YjnKGoPf2zfxpg/fmNzTg5dGzbi\nXyf25dgydO/qkJHJ9tzcKCdgmCZNkitHN0Y4+yB9n8eo4oVi9fkJQM59SEefOlHJWxOpEAcghBgM\nvIzVafldKeUzRfaLgv1nA17gCinlooq4d0Vx6YPDmfftAgIeP2ZBrN+Z4OTKJ0bgcB6KczpcDlb+\ntoaHhj1bGBLK3ZfHJ49/jSfHw9VPXRLz+mBlA50xqh9njOpXuQ+jqHb8sO5v7pz+fWHcfnteLj9v\n2sC44SPomFm6PPd/ndiXuVs3R2gCuW02Lj2+G4mVEP4BwNEPbJ0htJTCpiXCDfoxBQVcxSEg8CMk\njKgcuxTlotyvnkIIHXgNGAJ0AkYKIToVOWwI0Lbg6zrgjfLet6Jp1rYxry94hn7D+5LRJJ12Pdtw\n38e3cv6tZ0cd++EjX8UUepv48lT83ljTZEVdRkrJo7/8HCH4ZkqJNxTimblzSn29zg0a8sHQC+mU\n2QBNCNLdbm7t3Zd7Tzm1Is2OQAgNkf4+JN8H9q5g74lIeRQSb41RwHU40pI0rkBkeBfS8x5m3kvI\n4BIlsV4OKmIG0BtYJ6XcACCE+AIYCqw87JihwEfS+p+aL4RIFUI0llLurID7VxjN2jXhgS+OLsS0\nZeW2mNuFrrF/ZzZN2jSK2ielJP+AB6fboaQg6hg5AT/7fbHDJEt2l+1PoHfTZnw38rLymFVqhHAg\nEkdB4qhDG2UYmV8fwodX+BbBWXGZSaZvGuTcg7XwHEJ6PwDnYKj3jEodLQMVEXxuChxe4retYFtp\nj6kxtDyueczt0pRkNIlWS1w0YxmXt72Fixtfy7C0y3l29Kv4PLGrihW1jwS7I0rT5yAZMXT8DdPk\n7T8X0O+Dd+j59uv8348/sDs/v7LNLBNC6Ij0L8A5ECJk7QqkIJJuLewHUFKklFahWWAO0sw+tN3M\nLxj8/Via+dJKSw1Mg+Av5X+YOki1WwQWQlyHFSaiRYvqKQI1+pGLWf7rqsi00AQnF97+j6g2khuX\nb+Ghoc9GtI/8Zdxv5OzL46kp/64ymxXxw6HrXNSpM+NWLo8IA7ltNm7s2Tvq+LumT+XHDesLj524\neiWzNm/kp8uuJMXpqjK7S4rQMxBpr1oDd3AxBKaDsCFc5yDs7Ut1LRnehcy+2koTxQYyiEy6Di3p\nVgjOj91PQHqRvkmVrp1fG6mIGcB24PBX4mYF20p7DABSyrellD2llD0zM6tnmlinPu14YvL9HNOl\nJZqukdoghcsfvZgrHo9e6Br330mEivQIDgVCLJm5nF2b9lSVyYpK4IDfx7iVy/lk6WK25xYjh1zA\nf/r155y27XHqOol2B26bnZt6nciFHSPb/W06kM309esiHEVYSvKDQb5cvqxSnqOiEEKgOU9AS7kX\nLfmuUg/+ADL7JjA2WG/2Mg9LLO5dpH8G1nBVXJinZmgnVTcqYgawAGgrhDgGa1AfAYwqcswk4JaC\n9YETgZzqFv8vyv5d2axdtJGMJmm06doqKr7Y7fTOvL34v0e9ztbV22PKSNiddnZvzqJRK6V0WBP5\ncf06bps2BU0ITCl5cs4sbu3dl5uK9OU9iEPXee7MwTxwan/2eDw0S0nBZYuuol2ZlYVd1wkUkQ3x\nGwYLdmzn2h69IrZLKdmZn4dd08lMTKy4B4wD0thSIClddC3Bh/SMRaS/Tcx+xMKNcA+rAgtrH+V2\nAFJKQwhxCzANyw2/L6VcIYS4oWD/m8BUrBTQdVhpoFeW976VhZSSN+8cy+Q3f8ThtBEOmzRt25in\nf3ggquq3JBx3cnvWLd4Y1UIyGAjRomPpq0AV8Sc3EOC2aVOi2jiOWTCfU1u2onODhsWem+J0HTGM\n0ywlpTAN+XDsmkbrtPSIbUt37+L2H6awMz8PCbTPqM8rg8+hZWpq6R6ouiBzQdgtiYiofQcQwg2p\nryCzbwEhQBqADu6LwHFSlZtbG6iQNQAp5VSsQf7wbW8e9r0EYmnGVjt++ng2U9+dQSgQKgzdbFqx\nlSdHvMh/f36EeZP+4MOHvsI0TUb95wJO/+cpR7zehXecyw8fzCRs+Aq1hJwJTs66sn+ZHIoi/szc\ntAE9RsZJ0AjzzepVNEpK5o2Fv/PLpo2kud1c070nZ7UpWUeu4xs05Ji0NP7et5fQYT0sbJrOpV26\nFv683+flkgnj8IQOrUOtyNrDP8d/wZwrrsVeQ+SkI7C1K2aHA5xnAiCcp0KDX8A/zSpKc55qSUkr\nyoSozjm0PXv2lAsXLqzSe97Y4x7W/bUparvdaadlp2as+2tjxPYWnZry3vKXjnjN7et28u59n7J4\n5nKSUhO54PZ/MPTmwaoCuIYyftUKHp41A28ocm1HABd16lzYf/fgAO622bihZ29u7V2yBi/ZPh//\n99M0Zm/eCAiapaTw3Jln0bJeGrkBPy3rpTJ2yV+88NuvUbOQJLuDFwYN4cw2xyKNdUjPOxBaA/bj\nEInXImytKuA3UHmY3kkFLSODWOEeF+gZiIxvrMbpiqMihPhTStmzJMdWuyygeBLwBYpX5pQyavAH\n2LJyO1Pe/ZF/XGO9oQQLZg6JKYfS+5oe25iHv767UmxWVD2ntmxFOEaHOZfNTsg0yQn4I97efYbB\n6wt+5/KuJ5QoiyfN7eadc4fhCQbxGwZCwG0/TGHBju3oQsNts9GlYaOowR8gZIatkFBwETL7yoJw\nignGGqR/CqR/irAfF33TaoKWcB7SfgzS8xGEd4HzNETCCIRWtmZOiiOjXkELmPjqVIY3vIacrNjZ\nHOEYC7kH+erZSXjzfDxz2SsMqzeaC+tfxdXH3c7yX4+gla6osWQmJPJAv/64bDZsQiCw3vKHdejA\nxuz9BGP0fXDoOquyYgsOFkeiw0FGQgJXT5rIH9u3EQyH8Rkh9vt9zN26GZct+v1NE4JujRpbnbWk\nj0OLpmErXTL3SStd0z8Nc/81mPtGI71fIyu4Wrc8CPvxaKnPo2V8jJZ0jRr8KxE1AwB+n/In7//7\ns5i9fDXd6uaVmpnC7s17Y55vSpOHhz3HinmrCQWtt7Itq7Zz/+AneXPx8zQ9tnGl2q+oei7p0o2+\nzVswac1q/EaIQW3a0r1xE26ZOpklu3dFpaqHTPOoWTp7vV4W7NhGitNJn6bN0TWNtfv2sabIegBY\nxWIumx1Tl4UOp3lSgJObJdA5Mx32rI59k9BiZO7D4P+2UNtfhpaAfzKkfYAQ6p2wLqEcAPDlc9/G\nHPyFEJw+8hQuvuc8po+dxfgXv4t5/oBR/fj6hcmEApFT8lDQYMLLU7j11WsqxW5FfGmdls7tfSKz\nT64+oQczN22IEGqzaRod62dGZfEczmsL5jPmj/nYNGvxNsFu5+Pzh7PH48GuaRStG5dA2/R0+jRr\nzuxNf/JYt8l0StuFrtkh630snf5YbUwTwDeRSGlnH4SWQHA2qGKqOoVy98C+ndkxt7uSnIy4dxi/\nTvidKW//GPOYjKZpdOzTrrAD2OGEjTBbVsasd1PUUk5o3ISnBgwixeEk0W7Hqev0aNyEt88pPk99\n3tYtvL7gDwLhMJ5QEE8oSJbXw6gJX/Hy7/PIC0YP5E5d59SWx3D3Sf34ZtAsuqTvxCZCCOkFmUPs\nwd8Fzu7ELKaSXqS/9MJ0UZcJ78LMvg1zdzfM3b0xc59ByuLkohXxRs0AgBPOOJ7dm7IIG5GxWyEE\nKfWT+fLZbwj6o2OkQhfk7MnlkQuej9nu0e600alvcaltitrK0PYdOfvYdmw4kE2q00XDpCPHsD9Z\nuhifEf352u/zxRSRs2sayU4nl3XphgytAWMjVmOWo+A6C+y9IDA/xk476MXPUEqCNPOR+y4Acz/W\n2oMXvJ8iQ8sRGZ+U69qKykE5AGDUfy5g9te/4c31FToBh9vBtc9dypaV27A77TEdgAxLjBgLfgCi\noHPY0FsGV6rtiqonbJp8t3YN41euQBOCizp1ZkjbdhE9fe26TvuM+iW6Xm6w5BLidk1j5PFdubnn\niaS53chAFghbtD5OFC6r0CrvMWLPDnSE+/wS2yGNzRBaAXpTsHdBCIH0TQTTQ2S1bgCMZcjQMhCJ\nSM+7EFwDtlaQMBzh6KNUPOOIcgBAg+b1eWvxf/ni2W/4fcoi8rPz8eZ6eeP2sbTo2KxUyp1CgCvJ\nTc9BXbj22ctIbxStDqqouUgpuXnqZOZs2Vz41r5gx3Z+2rieF8+K7h1REv5xbDv+2rkjYt3gSDxy\n2hmHfrB3AhlrQC+KHwKziZZZ0C0phXovIPQmR72KlAYy527wz7CqdjFBbwnpH0BoGbG7gwmk70fw\nfmjZgYTwMghMRmoNIe0NhL1zCZ5BUdGoNYACMptlMPK+YeTty8OT40VKqyn8ur82YhrFp4AWxZ3k\n5oWZj/DQuLtp3Lp4SQBFzWThzu38unVzRMjGZ4SYvn4ty/bsLtM1L+h4HG0z6uMu0AaKVWV8kKLy\n0UJLh4QrrO5cR0Qjtl6/gIypCFfJNPulZyz4fwYCIPOtalxjLfLAfWA7FiimziEwFcs5FJmqmLuR\n+0cjTauXsZQSGd6ODFdrqbBag5oBHMa3r/0QpdxZWoyQQUpG5fRlVZQOKSVztmzm8+VL8BkG57Xr\nwLntOpRLJmHuls34QtGfkZBpMm/rZo4/gg5QcThtNr4aPoIpf69h+oa1pLsT0ARMWLUyqu3jDTHk\no0XynWDvaDVHMQ+AWXQh2I418MYSUnMgiNXntxi8n0FUTpIBwbmQ8hB43i4oPjs40NtBawbhtUe4\naBj8U5D2LsgDd0B4BwBSb4FIe1lJPVQiygEcxrrFmwrz+MuCbtM5tntrGrasnjLWdY1n587h48MW\nWBds38b4VSv4aNjwYhu0FMf2vFzGrVjOr1s2Y9O0qLx8h6aTWg6tfoeuc37HTpzf0eqmakpJot3J\nR0v/QhMCKeH6Hr24rEu3qHOFEOA+G+G2QlBS+pD5rxeke4bBebaV8+//hujFYjvopei7EbMpfIEd\nWgJkfIHM+Y+VVooOzgGQ8ihknUa04zh4TR/S2Ap5zxdIQBcQXofcNwoa/GIJwSkqHOUADqN9j9Ys\nmbk8Kp+/OJxuB6GggcNlR0pJq+Oa88iEeyrZSkVJ2Jabw4dLFkXIKvsMgyW7dzFz0wYGti75W+Uv\nmzZy49RJhE1JyCym7aGAIW0rLuNLE4L7TjmV2/v0JcvjpUFiIs4Ylb8xTRFuRPJdkHxX4TYZ3o0M\nzCgYYA9+vp2Q8hBClGIYcJ0Ovm+JciR6MyscpaUjMr5EyiCgFV7bTLgYvF8QcwFaJGDVJRT9u5NA\nCPw/gvu8ktuoKDFqDeAwzrt5MA6Xg5ImJXTo05YJ+z7gySn/5o0/n2PM788ohc9qwm/btsZ8y/eG\nQszYsKHE1zFMkzumT8VvGFGDv13TcGgauhC0SUvnt21bK7xBuctmp3m9eiUe/ItFa1CgqCmx6gB0\nEE6ErXRNW0TSHaClcSjWby9YRH468jjhiHAsIvn/wNGf6BoEF9g6AkmFlckRSD+Ey7a2ojg6ygEc\nRnqjNF757Sm6D+yCplu/GqHF9gbOBCdnjDiFxJQEupzaiebta2yL41pJitOJiFHwZNM00txHDydk\neTws2LGNeVs2Eyom1VcTAiEEYSlZtmc3d077nsdnzyqv6ZVD4EcITMZaCJbWvzIXmX1dqZyW0Bsg\n6n8PSbdZfYATr0TUn4pwdD/yecKBlj4G6v8E7ktBbw16W6tncPpYhLNbwUyg6IlOcHSN3q6oEFQI\nqAgtOjTlmWkPApC1bR/v3f8JP38+t1DLH6zQT5uuLRk4+rR4mak4Cv1bHoMthvO2aRrDOxWvhhkK\nh7l3xjSmrv0bp67jM4xiB8iQaWIets9nhPh8+RKu7Nad5vWqx0xQFrSTTPB8hoj5hn0AjFVWOmkJ\nEVoKIulq4OpS26PZmkO9h6LNcPSzsohCazgkU+EC2/FW8ZqiUqizDuDvP9fzy5fzQBP0v/gk2nZv\nHXWML9/PrxP+iBj8wRKIe2b6Azic0S39FNUDp83Gh8OGc/WkiQQMAwSYpuTpAYOOqMnz0vx5/LBu\nLcFwOKaq50H0gjf/qO2axoId26qFA5izZRMPzpzBjrxcPuu/ge4x69K02KGXKkYIHdI/QXreB983\nll3uCxCJV6hCsUqkTjqA9//zGRNenkLQH0IA3475nuF3ncsVj0Y2df/+vRkYoegFYaEJlsxcSZ9z\nelSRxYqy0KVhI+ZffT2Ldu3Abxj0bNwUt/3ITvuTZUti6uwXRdc0ZDgclVipCUGqq/gQk5SSv/fv\nIy8QoHODBjH7AlcEK/bs5vrvvi18lm83t6Fj6l7cthjPZj++UmwoLUK4EEk3QdJN8TalzlDnHMCm\nFVuZ8NIUAj4rG0ECAW+Qcc9P4oyR/WjR4VAsPycrl3CMIjDTlORl51eVyYoSsiF7P9vzculYvwH1\nE6x4sq5p9GpS8t7L+SWUZShuduDUdfq1aBlz39acHK6aNIEdebnomoYpJY+cdgbDO1V8Feybf/5h\nzXwKGLexA+e3WkvblGwS7SGs2gAdUe9ZhHBU+P0VNYM65wDmT16IEUO4zQybzJ+8MMIB9DmnB3Mm\n/I4/PzJ/2TTCdO1ffbsq1TVyA36unfwNy/bsxq5pBMNhRnbuyoOn9i91+KBLw0Ys2b2rVOdoQuCy\n2UhzuXnvvPNjFppJKbnsm3Fsy82NWDd4eNYM2tfPpGFiIi/Nn8fMTRtIcji5olt3RnbuEqEvVBrW\n798fUXMbNG2M+Pk8zmu5jft6Q3piC4T7IoStJVIaEJiBDC5G2JqB6xzVfrGOUOccgG63oWkiqihe\n07UoSeeTh/Vm4itTWbdoI36v9WboSnQy7JYhNGheMqEvReVz1/QfWLxrJyHTLCw1+nLFUtpnZPDP\nzl1Kda1H+g9g1PivCIaNmDH+WEgJn55/EV0aNirW4SzetZN9Xm/E4A8QCId5d9ECftu2lQN+P4Zp\nstvj4ak5s1ixZzdPDRhUKvsP0rVRY9bu3xfxDIbUmbK1NQ8OugHNZaVxSjMfuX8khLdaktC4IO8F\nSP8EUYqFYUXNpM6lgZ52UZ9iUzv7Xdgn4mfdpvPcTw9x8ytXccKA4zlpaC8eGncXVz99SVWYqigB\nuYEAszdvjKrM9RkG7y1eVOrrdW3YiMkjL+XCjsfRObMBA49pjeMoVcM2TXD8EQZ/gGy/P+Z+U0qW\n7d5NXiCIUaSP8MTVK9mZlxd1Tkm4oUdvXDZbRCKs22bjkuO7Us91qGJZet6y5KQLK3z9IPORB+5C\nUfupczOABi0yuWXM1Yy55b3CXH8zbPKvN64ls1lG1PF2h53BV53B4KvOiNqniD+eYBBNaMTSucn1\nl1zF9XBap6XzzMCzADjg9zHo47Hs9cWWQLBrOkOObXvUUE23Ro1irhu4bTZ0TRAIRy/O2nWdlXv3\n0Di59NpSLVNTGX/xKJ7+9RcW7thOqsvNNSf0YHinzuzx5FM/IdGy2fcdMatzw9uQ4d0IXQka1mbq\nnAMAGHLVAPqc05P5kxcihKDPuT1IzVQxz5pIo6Qk0lwudnkiF+V1ITitVatyX/+ZX2dzIBDtSA7G\n/dukpfPY6QOOeh2/YeDU9QgnoCFonJxCryZN2XTgQFTIKWyaNEkqu7Bgu4z6fDD0QgB8oRAPzPyJ\np+fORgApTheP9R/AmfWKE8aTQNlF8xQ1gzoXAjpIWoN6DLl6AIOvOkMN/jUYIQRPDRiEy2YrlFF2\n6Dr1nC5uO/Gko5x9dL5ftzYiNHMQKSXvn3cB3/zzElJKIAL3rx+m4C2iIioEXNChE9d07xm1cGzX\nNI5Nz6BjZoPyPUABd06fytS1awiGwwTCYbK8Hu6YPpUdxiCiJZw1sLVD6Gqdq7ZTZx2AovbQv9Ux\nTLh4FOd36ESvJk25rntPfrj0Cpokp5T72sUsF6EJja5HifsfZJ/Xy/Ldu6Pf8KVk/KoVtE5L5+1z\nhtE4KRmnbsOh65zUvCVjC97ey0uWx8OsTRsjhPEAAobBk38eA/ZuBf0E7CASLUG31Bcr5N6K6k2d\nDAEpah8d6mfy3JkV337znHYdGLdyeUToRheCk5u3KLFAWzAcLlZg8GDs/5QWLfn1ymvZlZ9Pgt0e\nsVBbXnZ58rHrepQDkMD6A/mI9A8htMjq6KU3BufpqjagjlBnHUDu/jwmvfYDC6YtoUHzDC684xw6\n9G4bb7MU1Yx7TurHwh3b2Zabg98wcNlspDhdPF2K9MywaeK226MGYIeuc/axhySkhRBlWvA9Gsek\npsUMY+lC0LNxU2sW4+hhfSnqFLXSAUgpkVKiFZO+l7M3l+tPuIe8fXkE/SFWCcFvkxdy+1vXM/CS\nU6vYWkV1JsXpZMqo0czevInVe7NomZrKgGPa4CiI2UspkVBsFtBXK5bx8KwZUeGfBLudBgmJ3Nyr\nT8zzKpIkh4Nru/fi3UULCjuMaULgttu5seeJpb6elEEI77JCRVpSRZurqELK5QCEEOnAl0ArYBNw\nsZQyO8Zxm4A8LC1aQ0rZszz3LQ6/N8Db93zM9LEzCQZCdOrTjn+9fi2tu0SW5n/53LfkZuUWdv+S\nUhLwBhlzy3ucdlFf7A4l8qY4hCYE/VsdQ/9WxxRu2+v18vCsGfy4YR1SSk5t2YrHTx8Yse6Q5fHw\n8KwZUW/+uhBc16MX13fvVX6d/xJy+4l9aZFSj7cWLWC/10vvps24+6RTSi1aZ3o+gvyXQIaBMNJ9\nHiLlERUyqqGU99N3HzBDSvmMEOK+gp/vLebY06WUe8t5vyPy6IXPs/SXlQT9VrbFinlruKPfg7y7\n4sWIHP/fpy6K2frRNE22rNpOm66tKtNMRQ3HME0uGvc52/NyC0Mrv2zexAVffsasK64uFHibsXF9\nzJmBxFqArarBH6zw0oWdjuPCI0hhHw3pnwb5L0Sqh/q+Q6Ih6j1RAVYqqpryZgENBT4s+P5DYFg5\nr1dmtqzezrLZqwoH/4OEAiG+HfN9xLZ6xTRtD4fCJKclVpqNitrBL5s3stfriYirm1KSHwoyde3f\nFYH21lUAABSeSURBVH4/TzDI5gMHIsTdKgspw8jA70j/dGR4X+S+/DdiSEf7wfctshpISitKT3lf\nQRpKKXcWfL8LKK5sUAI/CSHCwFtSyreLu6AQ4jrgOoAWLUrerHrb3zvQ7ToU+RyGggbrFm+K2Hbh\nHeew9s8Nhfo+YMk+tO3RmgYtVEN3RTSmlExbv5bxK1ewOedATMlobyjE2v2HBs0Bx7Th0V9+jjrO\noeuc0/borRhD4TCPzZ7J1yuXo2saAri1d1+u61E5DVKksR65/wqQBUV1MoRMugntoDyzWVxrRgFm\nDuiqcXtN46gzACHET0KI5TG+hh5+nLTaJhWnnnWKlLIbMAS4WQhR7EqrlPJtKWVPKWXPzMySD8Yt\nOjbDiBHWsTvttO/ZJmLbycN6M+K+YThcdhLrJeBMcNC6a0se/vruEt9PUbe4a/r33DP9B37etIH1\n2ftjCsUl2O20zzj0mc1MTOTR/gNw6joOXcemabhsNq7v3qtEBV7Pzp3N+FUrCITDeEMhPKEQL/8+\nj4mrVlTos0HBYvb+a8DcA9JjfRGE/LeQgbnWQfZuRPf0BYQLNPXiVBM56gxASjmwuH1CiN1CiMZS\nyp1CiMbAnmKusb3g3z1CiIlAb2B2GW2OSbO2jek+sAuLZiwl6AsV2Ad2p+3/27vz+KjKe4/jn9+s\n2YgQtkCgsiubLKUWxVoLiIgCWgW1Klq1tbf21tpbt1rtrVe99dp669oWt94WFK1Ca1urQquCiggI\nIoholAuyyB6yTTLbr3/MiAkzkwQzkzPJ/N6vV15kzsyc801e4fnNec5znofp3z0t4fUX/uRcZlw1\nlfI1mykp7UywLsRPz76LTSvLySv0M/3fTuPSW8/D4+2QA6XMYSrr6/n4YAVlxcUJC7q8vesTXvzw\ng0MjaJJxi3CUP4/TBzUeSjx7+EgmfOFoni//gHA0wuT+AxlYkjjn1OFCkQiPr1+XcKYRCId5YNUK\nzh76+fryo9FKOPgzCC6LrcFbeAWuwosgvB70AImf4QJo7XzEPwEpugYNLo8t1H5o7qU86HR9bEUv\n0+60tnV7FrgE+Hn83z8f/gIRKQRcqloV/34KcGsrj5vUzU/9kMduXsDfH/4HdbX1jPrqcL57zzfp\n1jv5EoCduhQxZuJItpfv5Hvjf3xo3v/aygCL7n2O3Vv38uP5V2ciqskSUVVuX/Yyj7/zNl63m1Ak\nwsxjhnLbxFPxxIcRv7Z1S8oFYDwuF24RJg8YyC0nT0x6YbesUzGXjzmyMfa1oRCRJGP3ITa66POI\nRith90nw6aTZWgFVtxKtfx0pvJiUHQLRgwCIdwh0fRqtuhdCa8BdhhR9F/Hb0On2qrUF4OfAUyJy\nObAFmA0gIr2Bh1V1GrHrAovit8x7gMdV9flWHjcpX56PK++aw5V3zTmi9z39y78Qqms8I2IwEOS1\nRSvYu30f3cqa/8Rm2qeH3lrFgvXrqI/PkQPw7PvvUZKfz3UTYg1bsd+PL75AfEN5bg83nHQyc0aN\nSXuuYr+fLvn57E7S2B/XszTpe1QVgm9CZDN4BoN3bOOpKg7eyqHGv6HgErTTDyFhlQyAPMibduiR\neAYhXe49sh/GZK1WjQJS1X2qOklVB6vqZFXdH9++I974o6ofqeqo+NdwVb09HcHTqXzN5qRLP3r9\nXra9vzPJO0xH8ciaVQkNe104zB/WrY01qMAZg48hWd+3CJw5pPmLuZ+HiHDLyV8jv8EZhRCbPvr6\nCYmfuDVage6bjlZciVbegR64HN13LhptMEtqcFnqA9Y9B51uITYxXLxZkHzwDEAK0jMnkck+Nhkc\nMGhMf9yexD7MYF2IPkN6OZDItJWDKdYMqA2FDl3o7ZKfz9zpMyn2+yny+Sjy+ujk8/ObM2dSkl+Q\nsWzTBh/D3OlncXzvPpQWFTF5wECenv0NRvRIHGynlbdC+KP4wi51sX/Dm9Cquz57kTQxxNnVDVfB\nOUjXBZA/C/yTkE63IF2fRCR98xKZ7CLawmXvnDBu3DhdtWpVxo+zvXwn3xl7XaO1f335Pk6c+SVu\nevwHGT++cc6sPz7B6p07ErYPKinhxYu+2WhbMBLhrZ07UFW+2Lvs0HQQTlNVdNcIIJT4pBTi6rkG\ngGjNk1B1c5I9uKDHelwuG/DQEYjI6pbOtmBnAEDZoF788qX/ZOj4IYhLKCjO56x/P53rfneV09FM\nhv0k3s3y6R27AuR5PPzsq4mLvPjcbsb36csJfb+QNY1/jJK8/x7Qz7q3XIXngf/wEXEu6Pwba/xz\nlJ0BmA4tHI1SGwrRyedLOXf/B/v28cDKN1i/ZzdDSrpy1Ze+zPAk3SzNqQkG+eO763l16xb6FBdz\n8XGjWzTkMx2i++fELgA3WhrTBf7JuLrc3/i14R1QtxCkO+SfY41/B3MkZwBWAEyHFI5G+eXyV/n9\n22sIRaN0zc/n5pO/xrQW3IELsKWigjtfW8rr27bSyefnstFjuWT02JSzflbUBZixYB77amsJhMO4\nRfC53dx3+nQm9h+Qzh8tKQ1vQffNjo/RDwD54CpEuj6DuO06Vi45kgJgpd90SHcse4UnN6w7NMJn\nV00N1y5+nmJ/HmNKe/FRxQFKi4roXpB4YXRXdTUzn5xHdTBIVJXK+np+sfxVPjywn9smnpr0eHNX\nr2R3Tc2h+wUiqgTCYa5f8jxvXP4d3CmmJk8X8RwN3ZeggT9B+H3wDEPyZyAum9vKpGYFwHQ4gVCI\nBevXURdJvIv2hiUvsL8ugMflIhSJcEq//tw9ZRr53s+mAH9s7WoCoRDRBmfHgXCYpzdu4Oovn0j3\nwsRG9YUPy5PeLBYIh9lccYBBbdAVJK5O8Ru6jGkZuwhsOpx9gdqU/f07qquoC4epDgapj0R48cNy\nxs59kGsXP8+OqkoAVu3cQSjJXbh+t7vRZG8NFfmSz4cfiUYp9Npc+SY7WQEwHU6PwqKUffWHU2Lr\n8i7auIHpT/yBvbW1DOxSgjvJ+4ORKGUpFpq/dNTYRjdtQWx+oKHdumdkmUdj0sEKgMmoA4EAj6xZ\nzU9f/gd/3rSxTea097ndfP/48QkNclOiQE0oxP+tfYsrxoxLGObpc7s5vqyMozt3Tvr+s44dyqxh\nI/C73RT5fBR6vfTr3IUHz5jRmh/FmIyyUUAmYzbs3sUFC58iHI1SFw5T4PVSWlTEwtnfoNif2btL\nVZVF773L/StXsKemhhE9euASYcX2bY369g83rncZT517Pss/3sqP/7mYHVWViAinDxrCbV+bTGGK\nrp5P7ayq4u1dn9CzsJDRpb1SdkW1BY3sQqvvg/qXQTpBwRyk4DxE7HNfR2bDQE1WmDLvMcr372+0\nzetyMWfUGG76yiltnmdzxQFmLphHoME0Dw25RTj72GH8z6lTgVgROVhfR77H26bLN6aDRivQvdMg\nWgF8etblAlcv5Kg7EP8JTsYzGWR3AhvH7amtYevBgwnbQ9Eof/tgkwOJoH/nLvztgjnMGjaCPLcn\nYXo3r9vNZQ2mbRYROuflt7vGH0BrH4doFZ81/gBRiG5HD1xJtPohp6KZLGIFwGSER1ykOrv0upyb\nRqHvUUdxx6QpvHHFlUweMBCf243f7aG0sIgHp83g2G4dZGWr4JtAfYon66D6HjRa0ZaJTBZqfx9t\nTLvQJT+fkT1LWfvJzkZ97nkeD7OHj3AwWUyxP4/fnnkWlfX11ASDlBYVJe2vj6pSEwxS6PO1eGRR\nVnAfDawg5RxB4oPQWvCf0oahTLaxAmAy5p7TzmDW009QVV9POKq4RBjbqxffGpuZRc0/j2K/n2K/\nP2G7qvLo2re4/83l1IRCFPl8/ODLJ2Zk8ZdMkMI5aGARKQsAUZDkI5pM7rACYDKmrLiYpZd+i1e2\nbGZ7ZSWjepZyXM9SR0fGtNS8d9Zy9/JXD00lUVFXx52vLcXv9nDeiJEOp2ueeAZCl1+jFT8CPfzm\nNRe4SsA7ypFsJntYATAZ5XG5mNR/oNMxjth9K95IWCksEA5z75vL20UBABD/BOjxOlrzEFTfD+IF\nIuDqjnR5pF0UYpNZVgCMOYyqsjdQm/S53TXVSbdnKxFBir6NFlwEoXXgKgbPUGv8DWCjgIxJICL0\nLT4q6XNHd+7SxmnSQ1wFiH884h1mjb85xAqAMUncOOFk8g4b/5/n8XDjSYkLshvTXlkXkDFJTB08\nBJ/Hwy+WL2PrwYP069yFa084ia/26+90NGPSxgpAEsG6ILVVAY7qVmynyzlsYv8BbbKalzFOsQLQ\nQLA+xAPff5Qlf3gFVSguKeKqey/jK+eMdzqaMcaknV0DaODuK37NknlLCdaFCNWH2LfzAHdech/r\nX93odDRjjEk7KwBxlfurWPrMGwQDwUbb62uDzL9joUOpjDEmc6wAxO3bvh+vL3mP2M7yT9o4jTHG\nZJ4VgLheA0uJhBPXgXW5XRw7fogDiXKDqhJJsv6uMSbzWlUARGSWiGwQkaiIpFyAQESmisgmESkX\nkRtac8xMySvwc/71M8kr/GxiMBHw5/u46CfnOJisY6oJBrlhyQsMffAeBt//v5z82EPctuxlPjqw\nv/k3G2PSolUrgonIUGLLqf4W+JGqJizfJSJu4H3gVGAbsBK4QFXfbW7/bb0imKqy+PevsODOP1Gx\n+yDDTzyGy//7QvoN79tmGXLF+c88ydpPdhKMNJ6t0ud2c+UXv8Q14yc4lMyY9u1IVgRr1TBQVd0Y\nP2BTLzseKFfVj+KvXQDMBJotAG1NRJhyySlMueQUp6N0aO/t3cM7uz5JaPwBgpEID721iskDBjGy\nR08H0hmTO9riGkAZ8HGDx9vi25ISkW+LyCoRWbVnz56MhzNtb3PFAdxNLEweDIf5yyYbemtMpjV7\nBiAiS4DSJE/dpKp/TncgVZ0LzIVYF1C692+cN6SkK2FNfeFXIemi7caY9Gq2AKjq5FYeYzvQsBO9\nT3ybyVEDS7oyvqwvr3+8hWCSEUB+j4cZQ451IJkxuaUtuoBWAoNFpL+I+IDzgWfb4Lgmi/36jBlc\nMnosee7YAvECuETI83i4+LjRjCrt5WxAY3JAa0cBnQ3cB3QHKoC1qnqaiPQGHlbVafHXTQN+BbiB\nR1X19pbsv61HARlnbK+s5LnyTQQjESb1H8ix3bo7HcmYdutIRgG1qgBkmhUAY4w5MkdSAOxOYGOM\nyVFWAIwxJkdZATDGmBxlBcAYY3KUFQBjjMlRtiSkMWmmGkJrHoHaBUA9+CchRdcg7q5ORzOmESsA\nxqSZVnwf6l8D6mIbAgvR+qXQ7TnEVeRoNmMasi4gY9JIQx80bvwBCEP0IBpI+9RZxrSKFQBj0im8\nAZLOdBqA0Oo2j2NMU6wAGJNO7lQznfvA3b9NoxjTHLsGYLJedTDIwo0bWLtrJ8eUdGPW8BGU5Bc4\nHSs57zhw9YLIFiD82XbxIAWzHYtlTDJWAExW+6S6ipkL5lMdrCcQDuN3e3hw1Zv8cdb5DOnazel4\nCUQESuahB6+F4IrYRvcXkM53Im5b4cxkFysAJqvdsewV9gdqDy0QUx8JE4yEuWHJCyw870KH0yUn\n7q5IyaNotBoIIq4SpyMZk5QVAJPVXvr/zQmrgynwzu5d1IfD+D3Z+ydsQz5NtrOLwCar+eILxhxO\nRHCJtHEaYzoWKwAmq507bDj+w4qA1+Vicv+BeFMUB2NMy1gBMFntmvEnMqZXb/I9Hgq8Xgq8XgZ0\nKeH2iac6Hc2Ydi97O1CNAfI8Xh7/+mze2b2L9/buoV/nzozrVRYbbWOMaRUrAKZdGNmjJyN72DBK\nY9LJuoCMMSZHWQEwxpgcZQXAGGNylBUAY4zJUVYAjDEmR1kBMMaYHCV62Dwr2URE9gBbMnyYbsDe\nDB8jXSxr5rSnvJY1M9pTVkid92hV7d6SHWR1AWgLIrJKVcc5naMlLGvmtKe8ljUz2lNWSE9e6wIy\nxpgcZQXAGGNylBUAmOt0gCNgWTOnPeW1rJnRnrJCGvLm/DUAY4zJVXYGYIwxOcoKACAi/yUi60Rk\nrYi8KCK9nc6UiojcJSLvxfMuEpHOTmdKRURmicgGEYmKSFaOrhCRqSKySUTKReQGp/M0RUQeFZHd\nIrLe6SzNEZG+IvKSiLwb/xu42ulMqYhInoi8KSJvx7P+zOlMzRERt4isEZG/tmY/VgBi7lLV41R1\nNPBX4BanAzVhMTBCVY8D3gdudDhPU9YDXweWOh0kGRFxAw8ApwPDgAtEZJizqZr0O2Cq0yFaKAz8\nh6oOA8YDV2Xx77YemKiqo4DRwFQRGe9wpuZcDWxs7U6sAACqWtngYSGxdcezkqq+qKrh+MM3gD5O\n5mmKqm5U1U1O52jC8UC5qn6kqkFgATDT4UwpqepSYL/TOVpCVXeq6lvx76uINVZlzqZKTmOq4w+9\n8a+sbQNEpA9wBvBwa/dlBSBORG4XkY+BC8nuM4CGLgP+7nSIdqwM+LjB421kaSPVnolIP2AMsMLZ\nJKnFu1TWAruBxaqatVmBXwHXAdHW7ihnCoCILBGR9Um+ZgKo6k2q2heYD3wvm7PGX3MTsdPs+c4l\nbVlWk7tEpAh4BvjBYWfaWUVVI/Eu4D7A8SIywulMyYjImcBuVV2djv3lzJKQqjq5hS+dDzwH/DSD\ncZrUXFYRuRQ4E5ikDo/jPYLfazbaDvRt8LhPfJtJAxHxEmv856vqQqfztISqVojIS8SutWTjxfYJ\nwAwRmQbkAcUiMk9VL/o8O8uZM4CmiMjgBg9nAu85laU5IjKV2OnfDFWtdTpPO7cSGCwi/UXEB5wP\nPOtwpg5BRAR4BNioqnc7nacpItL909F0IpIPnEqWtgGqeqOq9lHVfsT+Xv/5eRt/sALwqZ/Huy3W\nAVOIXWHPVvcDnYDF8WGrv3E6UCoicraIbANOAP4mIi84namh+MX07wEvELtI+ZSqbnA2VWoi8gSw\nHDhGRLaJyOVOZ2rCBOBiYGL873Rt/FNrNuoFvBT//7+S2DWAVg2vbC/sTmBjjMlRdgZgjDE5ygqA\nMcbkKCsAxhiTo6wAGGNMjrICYIwxOcoKgDHG5CgrAMYYk6OsABhjTI76F8zIFU7fLNlsAAAAAElF\nTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x114f7eda0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#AglomerativeClustering - Euclidean - Complete Linkage\n",
    "from sklearn.cluster import AgglomerativeClustering\n",
    "\n",
    "agglo = AgglomerativeClustering(n_clusters=3, affinity=\"euclidean\", linkage=\"complete\").fit_predict(X)\n",
    "\n",
    "\n",
    "# Agglomerative clusters\n",
    "PlotClusters(reduced_data_df, agglo)\n",
    "\n",
    "# Original\n",
    "PlotOriginal(reduced_data_df, y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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R5smjdUp0Su/yQO0AikDYu4P7OsCR/+MGXIiktxDCBaH1RTxpgXkQCAd+WWlD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\nhVM/YPeGPbTs1JyhkwfT9pLKL4ielZ7Fyr+uYUP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      "text/plain": [
       "<matplotlib.figure.Figure at 0x119443d68>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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oetpxnHfzWThcdhwuO65EJ84EJw+OuwtXgpMNSzbFPE9Kyf6dVgbH0tkrubn3\nvZztHsmoljfy3VvTS6SGqKh7LNq5g5Hjv+SEt17j3M8/ZsbG6Dfjz5cvjWrjCGDXdF44awg39ooU\nEXToerGft8Mbv3Rt1JgzjmlDwmG1BXatuEE+TLTmzyFkOAvp/xEZXBTz3vLAzWBmFaR3+gC/JePg\nG1/sNYXQsHpNFfyc8E9Iut2qEcBh/Zt0MyLh8mKvUe1x9scKbxVBhsB+XPT2CkKtARyBa5+9jCHX\nDGThD4txJTo5+fzeJKdZlZVN2jZi/64DUedIU5LaoB6rfl/Lv89+koDXWkTO2rqXN+/6iLxsDyPv\nO79Kn0NRvSla+ZuT5efW77/j6QGDGHqY/EMgHF0cBuC06dR3Rzd06dKwEYkOB54iDeDdNjsjO0f2\nq3558D/47u/VjFu5HCkh2+yBiwWIiMFegL2HVfBVBCklMu9/4P3AKsTCtJq3pH2IsDWzjjG2grGZ\n6DddH9L7GdiPQ+Y+CaHFVq1A4mhE4vVR9xNCIBKvRCaMBpkLIjmmTTUJkXCJtRBu7udQ5bPbcmxa\ndEOfiqJm/9aqgGZtG9OsbeOIbft3ZWMEo6fhzgQn5944CFeCk7EPfl44+B8k4A3w+VMTGH7nOUr+\nQVHIM3NnR1X++g2Dp+b8wnntOhQmFQxt35HFu3biK1olLKFbo8jPKIAmBO+eez6XTRyHYUpMaWJK\nuKjTcZxZpPevJgTnte9YqDckwycj915g9eLFB7hAOBD1Hov9EIGfwPsRlhZQwec+7EdmX4/InHLw\nIBB67G6JZh5y/6hDrSBlNuS/hQxvR9R7KuYthdCtPgG1AKHVg/qTkJ4PCrqqZSASr0A4+1fqfZUD\nKCXhcJg7Tn2I3Zuyovadd+NZXP2MVQW8YemWmOebpiR71wEatKi+De8VlY83FGLSmlUs27Ob5Xt2\nxzwm2+8jPxgk2WmFBs7v0IlvVq9i6Z5deEMh7JqGrmm8MGhIsb18OzdoyPyrb2Dmpo0c8Pvo06w5\nrY6iJQQg9CaQ+SPSN9GSVbB1QCRcYOXQx0B6Pyamcmd4K9LYgLC1Br211eAlqt+vE7QUMLYX2e4H\n3yRk0l0IvQa0giwnQktFJN8ByXdU2T1rnQNYNmcV79z7MZuWbyWzeQajH/knp13Ut8Kuv+inZWTv\nPkDYiJwBONx2GrSsD8Dsr3+LaABflNQGVa/Toqg+7M7PZ9iXn5AbCOIzQhSXNOzUdRLsh8XldZ2P\nzx/OrE210YMnAAAgAElEQVQbmbVpIxkJCQzvdBzNUo78eXLabAw+LDuopAgtGZE4umQHm7nFXEQv\nLOYSQkMm3VmgGmpiTQVcYGuJVfEbQxJCOCG8EeqAA4gHtcoBLP91FfcPfqKweGvLqu08f+VreHI8\nnH3NwAq5x871u2Pq+gd9ITav2MoD5zzN8l9Xx6whcCY4Of/WIThcldygQ1GteWLOTPZ6vYWtG2NF\nRNw2G1ef0DOiYAtA1zQGtG7DgNZtqsDSUuA8C4y1RMs+a2DrAIAM/lGQ6w6Fuj4A9f4H3netCtgo\nUbgA6JVfEVtXqVVZQO/e/2lU5W7AG+C9f392xDfykrB+ySbuGfAIb941lqA/ujrYlejE5rCxfO6a\nmIN/QoqbEfcO5fLH/8m6vzay+o+1UbMIRd3g540bCgf/ojh1nQSbnSu79eBfJ1bczLUyMf0/gmcM\nkYO/AFyQ8nhhBo/MeRCr0Ong514CAch/EZF4rfW2H4ELXIMQhwm7KSqWWjUD2Lhsa8zt3lwfnhxv\nYQZPadn29w5u7/cg/vzYcrK6TSclI5ncfXkxj3ElOrl1zDW07NSM0a1vIf+Ax0qocNj5z+e3031g\nlxhXVdRWihNZ04Xgl8uvIdXtjsrLr66Yxi44cHOMPRLS3kFzWqmp0syHcKy/TwnB+QjbsZD2gVVo\nZqwG4QL3CETyXZVqf12nVs0AGhbE4Itid9pISC5aOBKbsBFm16Y9eHIPLVR98ew3BIvRBEpMSWDA\npf0Y88cz1KufjKZH/0o1TcPutPF/Ax8ja9s+fPl+fHl+cvfl8dCw59i7Y3+JbFPUDoZ16BQ1wNs1\njUFt2tIgKalUg39V15VIGUaGliFDK6175z1X/MH+nw59LxwUO9yI5IJDuqPV/xbRcCWiwWK0lPsj\n8v8VFU+tcgCXP/pPnAmR00hngpPhd56Lbjv6H9W0sTMZ3vBqrul8Jxc1vIZnLnuFgC/A3wvWx2z9\nmFgvgWemP8A9799MWoN6nHXlGdgd0ZMqoQuC/lDMht1m2GTGJ7NL8ZSKms7/ndSPTvUzSbDbcek2\nEu12Wqam8fjpA0p8jfnbtjLk0w9p8+r/OOGtMYz547cI4bjKQAZ+Q+45Cbl/NHL/KGRWfzBWFX9C\neGPht0I4wP0Pooud3FCkgEsI1S+jqqhVIaCTh/Xm1teu5r37PiVvfz4Ol4Phd53LJQ9ceNRzF05f\nwqu3vBuRuz9n/HyklLTo1IxNK7cizcg/sKA/RMNWh+KTbbq24ob/Xc4bd4zFVuAIdF3jiSn/5u8F\n6wmHoh1AKBAqcdMZRe0g0eFg/MWjWLhzO3/v28cxqWn0adYcrYSD3tLdu7hq0oRDhWOBAG8s/IMD\nfj8PnHp6pdgsw1nIAzcU1AUc3OgFjlDP4jwl4keR/DAyvM+SYRYOa4HXfS4i8YpKsVlxdGqVAwA4\n6/LTGTS6P948H65EJ3oJp9OfPz0hqnAr6A/x64TfeXraA8z/bmHE/oMN3dOKpHSec/0gTrv4JBbP\nXIEr0Um304/D7rDjTnTGfKtxJ7k4YcDxZXhSRU1GCEGvJs3o1aRZqc999Y/fCBQpBvMZBp8uW8rt\nfU4myVHxYRPp+9ZqnhKFHStzp+jLjQOc50RsEVoCIv1dqyI4vA1sx1aq1LHi6NSqENBBhBAkpiSU\nePAH2L05urALQLfrpGbW44nJ99O8QxM0TeBMcHL2tQO5+/2bYsZgk9OS6HfBifQ6q1thxe8xx7fk\nlAv74Eo8NAV2Jjhp26M1vQYX1xVJoYhmzb69MVNHbZrGzry8yrmpuY9otUqw8vdjyUMHYe/pmL4p\nUXuErTnC2VcN/tWAWjcDKCudT+lI1tZ9MWL9gkbHNKBFh6a8v/Jlgv4gNoeNxT8v58Ye/8eWldtJ\nTk/iorvP4+J7zkM7Qhu9/xt7M7MGd2PKOz9hBA0GXnYag686/YjnKGoPf2zfxpg/fmNzTg5dGzbi\nXyf25dgydO/qkJHJ9tzcKCdgmCZNkitHN0Y4+yB9n8eo4oVi9fkJQM59SEefOlHJWxOpEAcghBgM\nvIzVafldKeUzRfaLgv1nA17gCinlooq4d0Vx6YPDmfftAgIeP2ZBrN+Z4OTKJ0bgcB6KczpcDlb+\ntoaHhj1bGBLK3ZfHJ49/jSfHw9VPXRLz+mBlA50xqh9njOpXuQ+jqHb8sO5v7pz+fWHcfnteLj9v\n2sC44SPomFm6PPd/ndiXuVs3R2gCuW02Lj2+G4mVEP4BwNEPbJ0htJTCpiXCDfoxBQVcxSEg8CMk\njKgcuxTlotyvnkIIHXgNGAJ0AkYKIToVOWwI0Lbg6zrgjfLet6Jp1rYxry94hn7D+5LRJJ12Pdtw\n38e3cv6tZ0cd++EjX8UUepv48lT83ljTZEVdRkrJo7/8HCH4ZkqJNxTimblzSn29zg0a8sHQC+mU\n2QBNCNLdbm7t3Zd7Tzm1Is2OQAgNkf4+JN8H9q5g74lIeRQSb41RwHU40pI0rkBkeBfS8x5m3kvI\n4BIlsV4OKmIG0BtYJ6XcACCE+AIYCqw87JihwEfS+p+aL4RIFUI0llLurID7VxjN2jXhgS+OLsS0\nZeW2mNuFrrF/ZzZN2jSK2ielJP+AB6fboaQg6hg5AT/7fbHDJEt2l+1PoHfTZnw38rLymFVqhHAg\nEkdB4qhDG2UYmV8fwodX+BbBWXGZSaZvGuTcg7XwHEJ6PwDnYKj3jEodLQMVEXxuChxe4retYFtp\nj6kxtDyueczt0pRkNIlWS1w0YxmXt72Fixtfy7C0y3l29Kv4PLGrihW1jwS7I0rT5yAZMXT8DdPk\n7T8X0O+Dd+j59uv8348/sDs/v7LNLBNC6Ij0L8A5ECJk7QqkIJJuLewHUFKklFahWWAO0sw+tN3M\nLxj8/Via+dJKSw1Mg+Av5X+YOki1WwQWQlyHFSaiRYvqKQI1+pGLWf7rqsi00AQnF97+j6g2khuX\nb+Ghoc9GtI/8Zdxv5OzL46kp/64ymxXxw6HrXNSpM+NWLo8IA7ltNm7s2Tvq+LumT+XHDesLj524\neiWzNm/kp8uuJMXpqjK7S4rQMxBpr1oDd3AxBKaDsCFc5yDs7Ut1LRnehcy+2koTxQYyiEy6Di3p\nVgjOj91PQHqRvkmVrp1fG6mIGcB24PBX4mYF20p7DABSyrellD2llD0zM6tnmlinPu14YvL9HNOl\nJZqukdoghcsfvZgrHo9e6Br330mEivQIDgVCLJm5nF2b9lSVyYpK4IDfx7iVy/lk6WK25xYjh1zA\nf/r155y27XHqOol2B26bnZt6nciFHSPb/W06kM309esiHEVYSvKDQb5cvqxSnqOiEEKgOU9AS7kX\nLfmuUg/+ADL7JjA2WG/2Mg9LLO5dpH8G1nBVXJinZmgnVTcqYgawAGgrhDgGa1AfAYwqcswk4JaC\n9YETgZzqFv8vyv5d2axdtJGMJmm06doqKr7Y7fTOvL34v0e9ztbV22PKSNiddnZvzqJRK6V0WBP5\ncf06bps2BU0ITCl5cs4sbu3dl5uK9OU9iEPXee7MwTxwan/2eDw0S0nBZYuuol2ZlYVd1wkUkQ3x\nGwYLdmzn2h69IrZLKdmZn4dd08lMTKy4B4wD0thSIClddC3Bh/SMRaS/Tcx+xMKNcA+rAgtrH+V2\nAFJKQwhxCzANyw2/L6VcIYS4oWD/m8BUrBTQdVhpoFeW976VhZSSN+8cy+Q3f8ThtBEOmzRt25in\nf3ggquq3JBx3cnvWLd4Y1UIyGAjRomPpq0AV8Sc3EOC2aVOi2jiOWTCfU1u2onODhsWem+J0HTGM\n0ywlpTAN+XDsmkbrtPSIbUt37+L2H6awMz8PCbTPqM8rg8+hZWpq6R6ouiBzQdgtiYiofQcQwg2p\nryCzbwEhQBqADu6LwHFSlZtbG6iQNQAp5VSsQf7wbW8e9r0EYmnGVjt++ng2U9+dQSgQKgzdbFqx\nlSdHvMh/f36EeZP+4MOHvsI0TUb95wJO/+cpR7zehXecyw8fzCRs+Aq1hJwJTs66sn+ZHIoi/szc\ntAE9RsZJ0AjzzepVNEpK5o2Fv/PLpo2kud1c070nZ7UpWUeu4xs05Ji0NP7et5fQYT0sbJrOpV26\nFv683+flkgnj8IQOrUOtyNrDP8d/wZwrrsVeQ+SkI7C1K2aHA5xnAiCcp0KDX8A/zSpKc55qSUkr\nyoSozjm0PXv2lAsXLqzSe97Y4x7W/bUparvdaadlp2as+2tjxPYWnZry3vKXjnjN7et28u59n7J4\n5nKSUhO54PZ/MPTmwaoCuIYyftUKHp41A28ocm1HABd16lzYf/fgAO622bihZ29u7V2yBi/ZPh//\n99M0Zm/eCAiapaTw3Jln0bJeGrkBPy3rpTJ2yV+88NuvUbOQJLuDFwYN4cw2xyKNdUjPOxBaA/bj\nEInXImytKuA3UHmY3kkFLSODWOEeF+gZiIxvrMbpiqMihPhTStmzJMdWuyygeBLwBYpX5pQyavAH\n2LJyO1Pe/ZF/XGO9oQQLZg6JKYfS+5oe25iHv767UmxWVD2ntmxFOEaHOZfNTsg0yQn4I97efYbB\n6wt+5/KuJ5QoiyfN7eadc4fhCQbxGwZCwG0/TGHBju3oQsNts9GlYaOowR8gZIatkFBwETL7yoJw\nignGGqR/CqR/irAfF33TaoKWcB7SfgzS8xGEd4HzNETCCIRWtmZOiiOjXkELmPjqVIY3vIacrNjZ\nHOEYC7kH+erZSXjzfDxz2SsMqzeaC+tfxdXH3c7yX4+gla6osWQmJPJAv/64bDZsQiCw3vKHdejA\nxuz9BGP0fXDoOquyYgsOFkeiw0FGQgJXT5rIH9u3EQyH8Rkh9vt9zN26GZct+v1NE4JujRpbnbWk\nj0OLpmErXTL3SStd0z8Nc/81mPtGI71fIyu4Wrc8CPvxaKnPo2V8jJZ0jRr8KxE1AwB+n/In7//7\ns5i9fDXd6uaVmpnC7s17Y55vSpOHhz3HinmrCQWtt7Itq7Zz/+AneXPx8zQ9tnGl2q+oei7p0o2+\nzVswac1q/EaIQW3a0r1xE26ZOpklu3dFpaqHTPOoWTp7vV4W7NhGitNJn6bN0TWNtfv2sabIegBY\nxWIumx1Tl4UOp3lSgJObJdA5Mx32rI59k9BiZO7D4P+2UNtfhpaAfzKkfYAQ6p2wLqEcAPDlc9/G\nHPyFEJw+8hQuvuc8po+dxfgXv4t5/oBR/fj6hcmEApFT8lDQYMLLU7j11WsqxW5FfGmdls7tfSKz\nT64+oQczN22IEGqzaRod62dGZfEczmsL5jPmj/nYNGvxNsFu5+Pzh7PH48GuaRStG5dA2/R0+jRr\nzuxNf/JYt8l0StuFrtkh630snf5YbUwTwDeRSGlnH4SWQHA2qGKqOoVy98C+ndkxt7uSnIy4dxi/\nTvidKW//GPOYjKZpdOzTrrAD2OGEjTBbVsasd1PUUk5o3ISnBgwixeEk0W7Hqev0aNyEt88pPk99\n3tYtvL7gDwLhMJ5QEE8oSJbXw6gJX/Hy7/PIC0YP5E5d59SWx3D3Sf34ZtAsuqTvxCZCCOkFmUPs\nwd8Fzu7ELKaSXqS/9MJ0UZcJ78LMvg1zdzfM3b0xc59ByuLkohXxRs0AgBPOOJ7dm7IIG5GxWyEE\nKfWT+fLZbwj6o2OkQhfk7MnlkQuej9nu0e600alvcaltitrK0PYdOfvYdmw4kE2q00XDpCPHsD9Z\nuhifEf352u/zxRSRs2sayU4nl3XphgytAWMjVmOWo+A6C+y9IDA/xk476MXPUEqCNPOR+y4Acz/W\n2oMXvJ8iQ8sRGZ+U69qKykE5AGDUfy5g9te/4c31FToBh9vBtc9dypaV27A77TEdgAxLjBgLfgCi\noHPY0FsGV6rtiqonbJp8t3YN41euQBOCizp1ZkjbdhE9fe26TvuM+iW6Xm6w5BLidk1j5PFdubnn\niaS53chAFghbtD5OFC6r0CrvMWLPDnSE+/wS2yGNzRBaAXpTsHdBCIH0TQTTQ2S1bgCMZcjQMhCJ\nSM+7EFwDtlaQMBzh6KNUPOOIcgBAg+b1eWvxf/ni2W/4fcoi8rPz8eZ6eeP2sbTo2KxUyp1CgCvJ\nTc9BXbj22ctIbxStDqqouUgpuXnqZOZs2Vz41r5gx3Z+2rieF8+K7h1REv5xbDv+2rkjYt3gSDxy\n2hmHfrB3AhlrQC+KHwKziZZZ0C0phXovIPQmR72KlAYy527wz7CqdjFBbwnpH0BoGbG7gwmk70fw\nfmjZgYTwMghMRmoNIe0NhL1zCZ5BUdGoNYACMptlMPK+YeTty8OT40VKqyn8ur82YhrFp4AWxZ3k\n5oWZj/DQuLtp3Lp4SQBFzWThzu38unVzRMjGZ4SYvn4ty/bsLtM1L+h4HG0z6uMu0AaKVWV8kKLy\n0UJLh4QrrO5cR0Qjtl6/gIypCFfJNPulZyz4fwYCIPOtalxjLfLAfWA7FiimziEwFcs5FJmqmLuR\n+0cjTauXsZQSGd6ODFdrqbBag5oBHMa3r/0QpdxZWoyQQUpG5fRlVZQOKSVztmzm8+VL8BkG57Xr\nwLntOpRLJmHuls34QtGfkZBpMm/rZo4/gg5QcThtNr4aPoIpf69h+oa1pLsT0ARMWLUyqu3jDTHk\no0XynWDvaDVHMQ+AWXQh2I418MYSUnMgiNXntxi8n0FUTpIBwbmQ8hB43i4oPjs40NtBawbhtUe4\naBj8U5D2LsgDd0B4BwBSb4FIe1lJPVQiygEcxrrFmwrz+MuCbtM5tntrGrasnjLWdY1n587h48MW\nWBds38b4VSv4aNjwYhu0FMf2vFzGrVjOr1s2Y9O0qLx8h6aTWg6tfoeuc37HTpzf0eqmakpJot3J\nR0v/QhMCKeH6Hr24rEu3qHOFEOA+G+G2QlBS+pD5rxeke4bBebaV8+//hujFYjvopei7EbMpfIEd\nWgJkfIHM+Y+VVooOzgGQ8ihknUa04zh4TR/S2Ap5zxdIQBcQXofcNwoa/GIJwSkqHOUADqN9j9Ys\nmbk8Kp+/OJxuB6GggcNlR0pJq+Oa88iEeyrZSkVJ2Jabw4dLFkXIKvsMgyW7dzFz0wYGti75W+Uv\nmzZy49RJhE1JyCym7aGAIW0rLuNLE4L7TjmV2/v0JcvjpUFiIs4Ylb8xTRFuRPJdkHxX4TYZ3o0M\nzCgYYA9+vp2Q8hBClGIYcJ0Ovm+JciR6MyscpaUjMr5EyiCgFV7bTLgYvF8QcwFaJGDVJRT9u5NA\nCPw/gvu8ktuoKDFqDeAwzrt5MA6Xg5ImJXTo05YJ+z7gySn/5o0/n2PM788ohc9qwm/btsZ8y/eG\nQszYsKHE1zFMkzumT8VvGFGDv13TcGgauhC0SUvnt21bK7xBuctmp3m9eiUe/ItFa1CgqCmx6gB0\nEE6ErXRNW0TSHaClcSjWby9YRH468jjhiHAsIvn/wNGf6BoEF9g6AkmFlckRSD+Ey7a2ojg6ygEc\nRnqjNF757Sm6D+yCplu/GqHF9gbOBCdnjDiFxJQEupzaiebta2yL41pJitOJiFHwZNM00txHDydk\neTws2LGNeVs2Eyom1VcTAiEEYSlZtmc3d077nsdnzyqv6ZVD4EcITMZaCJbWvzIXmX1dqZyW0Bsg\n6n8PSbdZfYATr0TUn4pwdD/yecKBlj4G6v8E7ktBbw16W6tncPpYhLNbwUyg6IlOcHSN3q6oEFQI\nqAgtOjTlmWkPApC1bR/v3f8JP38+t1DLH6zQT5uuLRk4+rR4mak4Cv1bHoMthvO2aRrDOxWvhhkK\nh7l3xjSmrv0bp67jM4xiB8iQaWIets9nhPh8+RKu7Nad5vWqx0xQFrSTTPB8hoj5hn0AjFVWOmkJ\nEVoKIulq4OpS26PZmkO9h6LNcPSzsohCazgkU+EC2/FW8ZqiUqizDuDvP9fzy5fzQBP0v/gk2nZv\nHXWML9/PrxP+iBj8wRKIe2b6Azic0S39FNUDp83Gh8OGc/WkiQQMAwSYpuTpAYOOqMnz0vx5/LBu\nLcFwOKaq50H0gjf/qO2axoId26qFA5izZRMPzpzBjrxcPuu/ge4x69K02KGXKkYIHdI/QXreB983\nll3uCxCJV6hCsUqkTjqA9//zGRNenkLQH0IA3475nuF3ncsVj0Y2df/+vRkYoegFYaEJlsxcSZ9z\nelSRxYqy0KVhI+ZffT2Ldu3Abxj0bNwUt/3ITvuTZUti6uwXRdc0ZDgclVipCUGqq/gQk5SSv/fv\nIy8QoHODBjH7AlcEK/bs5vrvvi18lm83t6Fj6l7cthjPZj++UmwoLUK4EEk3QdJN8TalzlDnHMCm\nFVuZ8NIUAj4rG0ECAW+Qcc9P4oyR/WjR4VAsPycrl3CMIjDTlORl51eVyYoSsiF7P9vzculYvwH1\nE6x4sq5p9GpS8t7L+SWUZShuduDUdfq1aBlz39acHK6aNIEdebnomoYpJY+cdgbDO1V8Feybf/5h\nzXwKGLexA+e3WkvblGwS7SGs2gAdUe9ZhHBU+P0VNYM65wDmT16IEUO4zQybzJ+8MMIB9DmnB3Mm\n/I4/PzJ/2TTCdO1ffbsq1TVyA36unfwNy/bsxq5pBMNhRnbuyoOn9i91+KBLw0Ys2b2rVOdoQuCy\n2UhzuXnvvPNjFppJKbnsm3Fsy82NWDd4eNYM2tfPpGFiIi/Nn8fMTRtIcji5olt3RnbuEqEvVBrW\n798fUXMbNG2M+Pk8zmu5jft6Q3piC4T7IoStJVIaEJiBDC5G2JqB6xzVfrGOUOccgG63oWkiqihe\n07UoSeeTh/Vm4itTWbdoI36v9WboSnQy7JYhNGheMqEvReVz1/QfWLxrJyHTLCw1+nLFUtpnZPDP\nzl1Kda1H+g9g1PivCIaNmDH+WEgJn55/EV0aNirW4SzetZN9Xm/E4A8QCId5d9ECftu2lQN+P4Zp\nstvj4ak5s1ixZzdPDRhUKvsP0rVRY9bu3xfxDIbUmbK1NQ8OugHNZaVxSjMfuX8khLdaktC4IO8F\nSP8EUYqFYUXNpM6lgZ52UZ9iUzv7Xdgn4mfdpvPcTw9x8ytXccKA4zlpaC8eGncXVz99SVWYqigB\nuYEAszdvjKrM9RkG7y1eVOrrdW3YiMkjL+XCjsfRObMBA49pjeMoVcM2TXD8EQZ/gGy/P+Z+U0qW\n7d5NXiCIUaSP8MTVK9mZlxd1Tkm4oUdvXDZbRCKs22bjkuO7Us91qGJZet6y5KQLK3z9IPORB+5C\nUfupczOABi0yuWXM1Yy55b3CXH8zbPKvN64ls1lG1PF2h53BV53B4KvOiNqniD+eYBBNaMTSucn1\nl1zF9XBap6XzzMCzADjg9zHo47Hs9cWWQLBrOkOObXvUUE23Ro1irhu4bTZ0TRAIRy/O2nWdlXv3\n0Di59NpSLVNTGX/xKJ7+9RcW7thOqsvNNSf0YHinzuzx5FM/IdGy2fcdMatzw9uQ4d0IXQka1mbq\nnAMAGHLVAPqc05P5kxcihKDPuT1IzVQxz5pIo6Qk0lwudnkiF+V1ITitVatyX/+ZX2dzIBDtSA7G\n/dukpfPY6QOOeh2/YeDU9QgnoCFonJxCryZN2XTgQFTIKWyaNEkqu7Bgu4z6fDD0QgB8oRAPzPyJ\np+fORgApTheP9R/AmfWKE8aTQNlF8xQ1gzoXAjpIWoN6DLl6AIOvOkMN/jUYIQRPDRiEy2YrlFF2\n6Dr1nC5uO/Gko5x9dL5ftzYiNHMQKSXvn3cB3/zzElJKIAL3rx+m4C2iIioEXNChE9d07xm1cGzX\nNI5Nz6BjZoPyPUABd06fytS1awiGwwTCYbK8Hu6YPpUdxiCiJZw1sLVD6Gqdq7ZTZx2AovbQv9Ux\nTLh4FOd36ESvJk25rntPfrj0Cpokp5T72sUsF6EJja5HifsfZJ/Xy/Ldu6Pf8KVk/KoVtE5L5+1z\nhtE4KRmnbsOh65zUvCVjC97ey0uWx8OsTRsjhPEAAobBk38eA/ZuBf0E7CASLUG31Bcr5N6K6k2d\nDAEpah8d6mfy3JkV337znHYdGLdyeUToRheCk5u3KLFAWzAcLlZg8GDs/5QWLfn1ymvZlZ9Pgt0e\nsVBbXnZ58rHrepQDkMD6A/mI9A8htMjq6KU3BufpqjagjlBnHUDu/jwmvfYDC6YtoUHzDC684xw6\n9G4bb7MU1Yx7TurHwh3b2Zabg98wcNlspDhdPF2K9MywaeK226MGYIeuc/axhySkhRBlWvA9Gsek\npsUMY+lC0LNxU2sW4+hhfSnqFLXSAUgpkVKiFZO+l7M3l+tPuIe8fXkE/SFWCcFvkxdy+1vXM/CS\nU6vYWkV1JsXpZMqo0czevInVe7NomZrKgGPa4CiI2UspkVBsFtBXK5bx8KwZUeGfBLudBgmJ3Nyr\nT8zzKpIkh4Nru/fi3UULCjuMaULgttu5seeJpb6elEEI77JCRVpSRZurqELK5QCEEOnAl0ArYBNw\nsZQyO8Zxm4A8LC1aQ0rZszz3LQ6/N8Db93zM9LEzCQZCdOrTjn+9fi2tu0SW5n/53LfkZuUWdv+S\nUhLwBhlzy3ucdlFf7A4l8qY4hCYE/VsdQ/9WxxRu2+v18vCsGfy4YR1SSk5t2YrHTx8Yse6Q5fHw\n8KwZUW/+uhBc16MX13fvVX6d/xJy+4l9aZFSj7cWLWC/10vvps24+6RTSi1aZ3o+gvyXQIaBMNJ9\nHiLlERUyqqGU99N3HzBDSvmMEOK+gp/vLebY06WUe8t5vyPy6IXPs/SXlQT9VrbFinlruKPfg7y7\n4sWIHP/fpy6K2frRNE22rNpOm66tKtNMRQ3HME0uGvc52/NyC0Mrv2zexAVffsasK64uFHibsXF9\nzJmBxFqArarBH6zw0oWdjuPCI0hhHw3pnwb5L0Sqh/q+Q6Ih6j1RAVYqqpryZgENBT4s+P5DYFg5\nr1dmtqzezrLZqwoH/4OEAiG+HfN9xLZ6xTRtD4fCJKclVpqNitrBL5s3stfriYirm1KSHwoyde3f\nFYH21lUAABSeSURBVH4/TzDI5gMHIsTdKgspw8jA70j/dGR4X+S+/DdiSEf7wfctshpISitKT3lf\nQRpKKXcWfL8LKK5sUAI/CSHCwFtSyreLu6AQ4jrgOoAWLUrerHrb3zvQ7ToU+RyGggbrFm+K2Hbh\nHeew9s8Nhfo+YMk+tO3RmgYtVEN3RTSmlExbv5bxK1ewOedATMlobyjE2v2HBs0Bx7Th0V9+jjrO\noeuc0/borRhD4TCPzZ7J1yuXo2saAri1d1+u61E5DVKksR65/wqQBUV1MoRMugntoDyzWVxrRgFm\nDuiqcXtN46gzACHET0KI5TG+hh5+nLTaJhWnnnWKlLIbMAS4WQhR7EqrlPJtKWVPKWXPzMySD8Yt\nOjbDiBHWsTvttO/ZJmLbycN6M+K+YThcdhLrJeBMcNC6a0se/vruEt9PUbe4a/r33DP9B37etIH1\n2ftjCsUl2O20zzj0mc1MTOTR/gNw6joOXcemabhsNq7v3qtEBV7Pzp3N+FUrCITDeEMhPKEQL/8+\nj4mrVlTos0HBYvb+a8DcA9JjfRGE/LeQgbnWQfZuRPf0BYQLNPXiVBM56gxASjmwuH1CiN1CiMZS\nyp1CiMbAnmKusb3g3z1CiIlAb2B2GW2OSbO2jek+sAuLZiwl6AsV2Ad2p+3/27vz+KjKe4/jn9+s\n2YgQtkCgsiubLKUWxVoLiIgCWgW1Klq1tbf21tpbt1rtrVe99dp669oWt94WFK1Ca1urQquCiggI\nIoholAuyyB6yTTLbr3/MiAkzkwQzkzPJ/N6vV15kzsyc801e4fnNec5znofp3z0t4fUX/uRcZlw1\nlfI1mykp7UywLsRPz76LTSvLySv0M/3fTuPSW8/D4+2QA6XMYSrr6/n4YAVlxcUJC7q8vesTXvzw\ng0MjaJJxi3CUP4/TBzUeSjx7+EgmfOFoni//gHA0wuT+AxlYkjjn1OFCkQiPr1+XcKYRCId5YNUK\nzh76+fryo9FKOPgzCC6LrcFbeAWuwosgvB70AImf4QJo7XzEPwEpugYNLo8t1H5o7qU86HR9bEUv\n0+60tnV7FrgE+Hn83z8f/gIRKQRcqloV/34KcGsrj5vUzU/9kMduXsDfH/4HdbX1jPrqcL57zzfp\n1jv5EoCduhQxZuJItpfv5Hvjf3xo3v/aygCL7n2O3Vv38uP5V2ciqskSUVVuX/Yyj7/zNl63m1Ak\nwsxjhnLbxFPxxIcRv7Z1S8oFYDwuF24RJg8YyC0nT0x6YbesUzGXjzmyMfa1oRCRJGP3ITa66POI\nRith90nw6aTZWgFVtxKtfx0pvJiUHQLRgwCIdwh0fRqtuhdCa8BdhhR9F/Hb0On2qrUF4OfAUyJy\nObAFmA0gIr2Bh1V1GrHrAovit8x7gMdV9flWHjcpX56PK++aw5V3zTmi9z39y78Qqms8I2IwEOS1\nRSvYu30f3cqa/8Rm2qeH3lrFgvXrqI/PkQPw7PvvUZKfz3UTYg1bsd+PL75AfEN5bg83nHQyc0aN\nSXuuYr+fLvn57E7S2B/XszTpe1QVgm9CZDN4BoN3bOOpKg7eyqHGv6HgErTTDyFhlQyAPMibduiR\neAYhXe49sh/GZK1WjQJS1X2qOklVB6vqZFXdH9++I974o6ofqeqo+NdwVb09HcHTqXzN5qRLP3r9\nXra9vzPJO0xH8ciaVQkNe104zB/WrY01qMAZg48hWd+3CJw5pPmLuZ+HiHDLyV8jv8EZhRCbPvr6\nCYmfuDVage6bjlZciVbegR64HN13LhptMEtqcFnqA9Y9B51uITYxXLxZkHzwDEAK0jMnkck+Nhkc\nMGhMf9yexD7MYF2IPkN6OZDItJWDKdYMqA2FDl3o7ZKfz9zpMyn2+yny+Sjy+ujk8/ObM2dSkl+Q\nsWzTBh/D3OlncXzvPpQWFTF5wECenv0NRvRIHGynlbdC+KP4wi51sX/Dm9Cquz57kTQxxNnVDVfB\nOUjXBZA/C/yTkE63IF2fRCR98xKZ7CLawmXvnDBu3DhdtWpVxo+zvXwn3xl7XaO1f335Pk6c+SVu\nevwHGT++cc6sPz7B6p07ErYPKinhxYu+2WhbMBLhrZ07UFW+2Lvs0HQQTlNVdNcIIJT4pBTi6rkG\ngGjNk1B1c5I9uKDHelwuG/DQEYjI6pbOtmBnAEDZoF788qX/ZOj4IYhLKCjO56x/P53rfneV09FM\nhv0k3s3y6R27AuR5PPzsq4mLvPjcbsb36csJfb+QNY1/jJK8/x7Qz7q3XIXngf/wEXEu6Pwba/xz\nlJ0BmA4tHI1SGwrRyedLOXf/B/v28cDKN1i/ZzdDSrpy1Ze+zPAk3SzNqQkG+eO763l16xb6FBdz\n8XGjWzTkMx2i++fELgA3WhrTBf7JuLrc3/i14R1QtxCkO+SfY41/B3MkZwBWAEyHFI5G+eXyV/n9\n22sIRaN0zc/n5pO/xrQW3IELsKWigjtfW8rr27bSyefnstFjuWT02JSzflbUBZixYB77amsJhMO4\nRfC53dx3+nQm9h+Qzh8tKQ1vQffNjo/RDwD54CpEuj6DuO06Vi45kgJgpd90SHcse4UnN6w7NMJn\nV00N1y5+nmJ/HmNKe/FRxQFKi4roXpB4YXRXdTUzn5xHdTBIVJXK+np+sfxVPjywn9smnpr0eHNX\nr2R3Tc2h+wUiqgTCYa5f8jxvXP4d3CmmJk8X8RwN3ZeggT9B+H3wDEPyZyAum9vKpGYFwHQ4gVCI\nBevXURdJvIv2hiUvsL8ugMflIhSJcEq//tw9ZRr53s+mAH9s7WoCoRDRBmfHgXCYpzdu4Oovn0j3\nwsRG9YUPy5PeLBYIh9lccYBBbdAVJK5O8Ru6jGkZuwhsOpx9gdqU/f07qquoC4epDgapj0R48cNy\nxs59kGsXP8+OqkoAVu3cQSjJXbh+t7vRZG8NFfmSz4cfiUYp9Npc+SY7WQEwHU6PwqKUffWHU2Lr\n8i7auIHpT/yBvbW1DOxSgjvJ+4ORKGUpFpq/dNTYRjdtQWx+oKHdumdkmUdj0sEKgMmoA4EAj6xZ\nzU9f/gd/3rSxTea097ndfP/48QkNclOiQE0oxP+tfYsrxoxLGObpc7s5vqyMozt3Tvr+s44dyqxh\nI/C73RT5fBR6vfTr3IUHz5jRmh/FmIyyUUAmYzbs3sUFC58iHI1SFw5T4PVSWlTEwtnfoNif2btL\nVZVF773L/StXsKemhhE9euASYcX2bY369g83rncZT517Pss/3sqP/7mYHVWViAinDxrCbV+bTGGK\nrp5P7ayq4u1dn9CzsJDRpb1SdkW1BY3sQqvvg/qXQTpBwRyk4DxE7HNfR2bDQE1WmDLvMcr372+0\nzetyMWfUGG76yiltnmdzxQFmLphHoME0Dw25RTj72GH8z6lTgVgROVhfR77H26bLN6aDRivQvdMg\nWgF8etblAlcv5Kg7EP8JTsYzGWR3AhvH7amtYevBgwnbQ9Eof/tgkwOJoH/nLvztgjnMGjaCPLcn\nYXo3r9vNZQ2mbRYROuflt7vGH0BrH4doFZ81/gBRiG5HD1xJtPohp6KZLGIFwGSER1ykOrv0upyb\nRqHvUUdxx6QpvHHFlUweMBCf243f7aG0sIgHp83g2G4dZGWr4JtAfYon66D6HjRa0ZaJTBZqfx9t\nTLvQJT+fkT1LWfvJzkZ97nkeD7OHj3AwWUyxP4/fnnkWlfX11ASDlBYVJe2vj6pSEwxS6PO1eGRR\nVnAfDawg5RxB4oPQWvCf0oahTLaxAmAy5p7TzmDW009QVV9POKq4RBjbqxffGpuZRc0/j2K/n2K/\nP2G7qvLo2re4/83l1IRCFPl8/ODLJ2Zk8ZdMkMI5aGARKQsAUZDkI5pM7rACYDKmrLiYpZd+i1e2\nbGZ7ZSWjepZyXM9SR0fGtNS8d9Zy9/JXD00lUVFXx52vLcXv9nDeiJEOp2ueeAZCl1+jFT8CPfzm\nNRe4SsA7ypFsJntYATAZ5XG5mNR/oNMxjth9K95IWCksEA5z75vL20UBABD/BOjxOlrzEFTfD+IF\nIuDqjnR5pF0UYpNZVgCMOYyqsjdQm/S53TXVSbdnKxFBir6NFlwEoXXgKgbPUGv8DWCjgIxJICL0\nLT4q6XNHd+7SxmnSQ1wFiH884h1mjb85xAqAMUncOOFk8g4b/5/n8XDjSYkLshvTXlkXkDFJTB08\nBJ/Hwy+WL2PrwYP069yFa084ia/26+90NGPSxgpAEsG6ILVVAY7qVmynyzlsYv8BbbKalzFOsQLQ\nQLA+xAPff5Qlf3gFVSguKeKqey/jK+eMdzqaMcaknV0DaODuK37NknlLCdaFCNWH2LfzAHdech/r\nX93odDRjjEk7KwBxlfurWPrMGwQDwUbb62uDzL9joUOpjDEmc6wAxO3bvh+vL3mP2M7yT9o4jTHG\nZJ4VgLheA0uJhBPXgXW5XRw7fogDiXKDqhJJsv6uMSbzWlUARGSWiGwQkaiIpFyAQESmisgmESkX\nkRtac8xMySvwc/71M8kr/GxiMBHw5/u46CfnOJisY6oJBrlhyQsMffAeBt//v5z82EPctuxlPjqw\nv/k3G2PSolUrgonIUGLLqf4W+JGqJizfJSJu4H3gVGAbsBK4QFXfbW7/bb0imKqy+PevsODOP1Gx\n+yDDTzyGy//7QvoN79tmGXLF+c88ydpPdhKMNJ6t0ud2c+UXv8Q14yc4lMyY9u1IVgRr1TBQVd0Y\nP2BTLzseKFfVj+KvXQDMBJotAG1NRJhyySlMueQUp6N0aO/t3cM7uz5JaPwBgpEID721iskDBjGy\nR08H0hmTO9riGkAZ8HGDx9vi25ISkW+LyCoRWbVnz56MhzNtb3PFAdxNLEweDIf5yyYbemtMpjV7\nBiAiS4DSJE/dpKp/TncgVZ0LzIVYF1C692+cN6SkK2FNfeFXIemi7caY9Gq2AKjq5FYeYzvQsBO9\nT3ybyVEDS7oyvqwvr3+8hWCSEUB+j4cZQ451IJkxuaUtuoBWAoNFpL+I+IDzgWfb4Lgmi/36jBlc\nMnosee7YAvECuETI83i4+LjRjCrt5WxAY3JAa0cBnQ3cB3QHKoC1qnqaiPQGHlbVafHXTQN+BbiB\nR1X19pbsv61HARlnbK+s5LnyTQQjESb1H8ix3bo7HcmYdutIRgG1qgBkmhUAY4w5MkdSAOxOYGOM\nyVFWAIwxJkdZATDGmBxlBcAYY3KUFQBjjMlRtiSkMWmmGkJrHoHaBUA9+CchRdcg7q5ORzOmESsA\nxqSZVnwf6l8D6mIbAgvR+qXQ7TnEVeRoNmMasi4gY9JIQx80bvwBCEP0IBpI+9RZxrSKFQBj0im8\nAZLOdBqA0Oo2j2NMU6wAGJNO7lQznfvA3b9NoxjTHLsGYLJedTDIwo0bWLtrJ8eUdGPW8BGU5Bc4\nHSs57zhw9YLIFiD82XbxIAWzHYtlTDJWAExW+6S6ipkL5lMdrCcQDuN3e3hw1Zv8cdb5DOnazel4\nCUQESuahB6+F4IrYRvcXkM53Im5b4cxkFysAJqvdsewV9gdqDy0QUx8JE4yEuWHJCyw870KH0yUn\n7q5IyaNotBoIIq4SpyMZk5QVAJPVXvr/zQmrgynwzu5d1IfD+D3Z+ydsQz5NtrOLwCar+eILxhxO\nRHCJtHEaYzoWKwAmq507bDj+w4qA1+Vicv+BeFMUB2NMy1gBMFntmvEnMqZXb/I9Hgq8Xgq8XgZ0\nKeH2iac6Hc2Ydi97O1CNAfI8Xh7/+mze2b2L9/buoV/nzozrVRYbbWOMaRUrAKZdGNmjJyN72DBK\nY9LJuoCMMSZHWQEwxpgcZQXAGGNylBUAY4zJUVYAjDEmR1kBMMaYHCV62Dwr2URE9gBbMnyYbsDe\nDB8jXSxr5rSnvJY1M9pTVkid92hV7d6SHWR1AWgLIrJKVcc5naMlLGvmtKe8ljUz2lNWSE9e6wIy\nxpgcZQXAGGNylBUAmOt0gCNgWTOnPeW1rJnRnrJCGvLm/DUAY4zJVXYGYIwxOcoKACAi/yUi60Rk\nrYi8KCK9nc6UiojcJSLvxfMuEpHOTmdKRURmicgGEYmKSFaOrhCRqSKySUTKReQGp/M0RUQeFZHd\nIrLe6SzNEZG+IvKSiLwb/xu42ulMqYhInoi8KSJvx7P+zOlMzRERt4isEZG/tmY/VgBi7lLV41R1\nNPBX4BanAzVhMTBCVY8D3gdudDhPU9YDXweWOh0kGRFxAw8ApwPDgAtEZJizqZr0O2Cq0yFaKAz8\nh6oOA8YDV2Xx77YemKiqo4DRwFQRGe9wpuZcDWxs7U6sAACqWtngYSGxdcezkqq+qKrh+MM3gD5O\n5mmKqm5U1U1O52jC8UC5qn6kqkFgATDT4UwpqepSYL/TOVpCVXeq6lvx76uINVZlzqZKTmOq4w+9\n8a+sbQNEpA9wBvBwa/dlBSBORG4XkY+BC8nuM4CGLgP+7nSIdqwM+LjB421kaSPVnolIP2AMsMLZ\nJKnFu1TWAruBxaqatVmBXwHXAdHW7ihnCoCILBGR9Um+ZgKo6k2q2heYD3wvm7PGX3MTsdPs+c4l\nbVlWk7tEpAh4BvjBYWfaWUVVI/Eu4D7A8SIywulMyYjImcBuVV2djv3lzJKQqjq5hS+dDzwH/DSD\ncZrUXFYRuRQ4E5ikDo/jPYLfazbaDvRt8LhPfJtJAxHxEmv856vqQqfztISqVojIS8SutWTjxfYJ\nwAwRmQbkAcUiMk9VL/o8O8uZM4CmiMjgBg9nAu85laU5IjKV2OnfDFWtdTpPO7cSGCwi/UXEB5wP\nPOtwpg5BRAR4BNioqnc7nacpItL909F0IpIPnEqWtgGqeqOq9lHVfsT+Xv/5eRt/sALwqZ/Huy3W\nAVOIXWHPVvcDnYDF8WGrv3E6UCoicraIbANOAP4mIi84namh+MX07wEvELtI+ZSqbnA2VWoi8gSw\nHDhGRLaJyOVOZ2rCBOBiYGL873Rt/FNrNuoFvBT//7+S2DWAVg2vbC/sTmBjjMlRdgZgjDE5ygqA\nMcbkKCsAxhiTo6wAGGNMjrICYIwxOcoKgDHG5CgrAMYYk6OsABhjTI76F8zIFU7fLNlsAAAAAElF\nTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x118bc3048>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#AglomerativeClustering - Manhattan - Complete Linkage\n",
    "from sklearn.cluster import AgglomerativeClustering\n",
    "\n",
    "agglo_Manhattan = AgglomerativeClustering(n_clusters=3, affinity=\"manhattan\", linkage=\"complete\").fit_predict(X)\n",
    "\n",
    "\n",
    "# Agglomerative clusters\n",
    "PlotClusters(reduced_data_df, agglo_Manhattan)\n",
    "\n",
    "# Original\n",
    "PlotOriginal(reduced_data_df, y)\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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yeOcfn/LtKz/WfLDKKSk6LIwnzxnMkgm3svjGW7iv35m89MdCPly1AiPEFduq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\nAyd+iDg2VoeJAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x119272c88>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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oetpxnHfzWThcdhwuO65EJ84EJw+OuwtXgpMNSzbFPE9Kyf6dVgbH0tkrubn3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\nTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11965b6d8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#AglomerativeClustering - Cosine - Complete Linkage\n",
    "from sklearn.cluster import AgglomerativeClustering\n",
    "\n",
    "agglo_Cosine = AgglomerativeClustering(n_clusters=3, affinity=\"cosine\", linkage=\"complete\").fit_predict(X)\n",
    "\n",
    "\n",
    "# Agglomerative clusters\n",
    "PlotClusters(reduced_data_df, agglo_Cosine)\n",
    "\n",
    "# Original\n",
    "PlotOriginal(reduced_data_df, y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "K-Means Metrics \n",
      " Homogeneity: 0.751485402199 \n",
      " Completeness: 0.764986151449 \n",
      "\n",
      "Agglomerative Clustering Metrics - Euclidean \n",
      " Homogeneity: 0.700115437096 \n",
      " Completeness: 0.745438275302 \n",
      "\n",
      "Agglomerative Clustering Metrics - Manhattan \n",
      " Homogeneity: 0.778176865951 \n",
      " Completeness: 0.803588540623 \n",
      "\n",
      "Agglomerative Clustering Metrics - Cosine \n",
      " Homogeneity: 0.717058965034 \n",
      " Completeness: 0.773421193274\n"
     ]
    }
   ],
   "source": [
    "#Metrics\n",
    "\n",
    "#Kmeans\n",
    "metric_Kmeans_homo = metrics.homogeneity_score(y, reduced_data_df[2])\n",
    "metric_Kmeans_comp = metrics.completeness_score(y, reduced_data_df[2]) \n",
    "\n",
    "#Agglomerative - Euclidean\n",
    "metric_AggloEuclidean_homo = metrics.homogeneity_score(y, agglo)\n",
    "metric_AggloEuclidean_comp = metrics.completeness_score(y, agglo) \n",
    "\n",
    "#Agglomerative - Manhattan\n",
    "metric_AggloManhattan_homo = metrics.homogeneity_score(y, agglo_Manhattan)\n",
    "metric_AggloManhattan_comp = metrics.completeness_score(y, agglo_Manhattan) \n",
    "\n",
    "#Agglomerative - Cosine\n",
    "metric_AggloCosine_homo = metrics.homogeneity_score(y, agglo_Cosine)\n",
    "metric_AggloCosine_comp = metrics.completeness_score(y, agglo_Cosine) \n",
    "\n",
    "print (\"K-Means Metrics \\n Homogeneity:\", metric_Kmeans_homo, \"\\n Completeness:\", metric_Kmeans_comp, \"\\n\")\n",
    "print (\"Agglomerative Clustering Metrics - Euclidean \\n Homogeneity:\", metric_AggloEuclidean_homo, \"\\n Completeness:\", metric_AggloEuclidean_comp, \"\\n\")\n",
    "print (\"Agglomerative Clustering Metrics - Manhattan \\n Homogeneity:\", metric_AggloManhattan_homo, \"\\n Completeness:\", metric_AggloManhattan_comp, \"\\n\")\n",
    "print (\"Agglomerative Clustering Metrics - Cosine \\n Homogeneity:\", metric_AggloCosine_homo, \"\\n Completeness:\", metric_AggloCosine_comp)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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W9/oVHYDViJEjU1PVCy9Md0LfdNPGdQsXwuTJ6fmkScXEZ2bdwlcKtlGfPvC5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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11930acf8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#Metodo do Cotovelo\n",
    "from scipy.spatial.distance import cdist\n",
    "\n",
    "distortions = []\n",
    "K = range(1,10)\n",
    "for k in K:\n",
    "    kmeanModel = KMeans(n_clusters=k).fit(X)\n",
    "    kmeanModel.fit(X)\n",
    "    distortions.append(sum(np.min(cdist(X, kmeanModel.cluster_centers_, 'euclidean'), axis=1)) / X.shape[0])\n",
    "\n",
    "# Plot the elbow\n",
    "plt.plot(K, distortions, 'ro-')\n",
    "plt.xlabel('k')\n",
    "plt.ylabel('Distortion')\n",
    "plt.title('The Elbow Method showing the optimal k')\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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1i3uoqqK1/4TIPZndhO0Ubym/D/EOctqk5kFqDrlKKYpGHgLfhmjNVZD8wokV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\nMmPmvwcS2B76veWYsiTUvm6Y9gLnPCH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      "text/plain": [
       "<matplotlib.figure.Figure at 0x119668f98>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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oetpxnHfzWThcdhwuO65EJ84EJw+OuwtXgpMNSzbFPE9Kyf6dVgbH0tkrubn3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\nTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x119404c88>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#K-means com o optimal K = 2\n",
    "kmeansOptimal = KMeans(n_clusters=2).fit(X)\n",
    "predictions = kmeansOptimal.predict(X)\n",
    "\n",
    "# k-means clusters\n",
    "PlotClusters(reduced_data_df, predictions)\n",
    "\n",
    "# Original\n",
    "PlotOriginal(reduced_data_df, y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.2"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}
